Question

Five times a number minus twice another number equals twenty-two. The sum of the numbers is three. Let the first number = x and the second number = y. Find the numbers. Write answer as an ordered pair (x,y) with no spaces.

Answer 1

The ordered pair is (4,-1)

Explanation:

Let

x ---> the first number

y ---> the second number

we know that

Five times a number minus twice another number equals twenty-two

so

`5x-2y=22` -----> equation A

The sum of the numbers is three

so

`x+y=3`

isolate the variable y

`y=3-x` ----> equation B

substitute equation B in equation A

`5x-2(3-x)=22`

solve for x

`5x-6+2x=22\\7x=22+6\\7x=28\\x=4`

Find the value of y (equation B)

`y=3-4=-1`

threrefore

The ordered pair is (4,-1)